Numerical Calculation of Interior Transmission Eigenvalues with Mixed Boundary Conditions

Andreas Kleefeld () and Jijun Liu ()
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Andreas Kleefeld: Forschungszentrum Jülich GmbH, Jülich Supercomputing Centre
Jijun Liu: Southeast University, School of Mathematics/Seu-Yau Center

Chapter Chapter 9 in Computational and Analytic Methods in Science and Engineering, 2020, pp 173-195 from Springer

Abstract: Abstract Interior transmission eigenvalue problems for the Helmholtz equation play an important role in inverse wave scattering. Some distribution properties of those eigenvalues in the complex plane are reviewed. Further, a new scattering model for the interior transmission eigenvalue problem with mixed boundary conditions is described and an efficient algorithm for computing the interior transmission eigenvalues is proposed. Finally, extensive numerical results for a variety of two-dimensional scatterers are presented to show the validity of the proposed scheme.

Date: 2020
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DOI: 10.1007/978-3-030-48186-5_9

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